Dynamic Comparison of Variations of Newton’s Methods with Different Types of Means for Solving Nonlinear Equations

Abstract

This article discusses dynamic comparison of variations of Newton’s methods with different types of means for solving nonlinear equations. There are two factors that are considered to affect the shape of the basin of attraction of a method namely the size of the determined convergence area and number of partitions. The computation results of some functions show that harmonic mean Newton’s method (HMN) has small divergence area. On the other hand, contra harmonic mean Newton’s method (CMN) has the largest divergence area and is considered to be the least effective method